2. The 40mm diameter steel rod AB shown in Figure 2 is resting on frictionless rollers between two steel plates. End A is just touching the left hand steel plate. Steel plate Steel plate А 1500mm Imm Figure 2 There is a gap of 1mm between the end B and the right hand side steel plate. The temperature of the rod increases by an amount AT and this increase in temperature causes the two ends of the rod to press against the steel plates. This action causes the right hand steel plate to move to the right by 0.5mm while the left hand plate does not move. The Young's modulus value for steel is 210,00ON/mm?. Taking any assumptions that you deem necessary calculate the increase in temperature AT required to cause the rod to buckle.

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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.24P
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2. The 40mm diameter steel rod AB shown in Figure 2 is resting on frictionless rollers
between two steel plates. End A is just touching the left hand steel plate.
Steel plate
Steel plate
А
1500mm
Imm
Figure 2
There is a gap of 1mm between the end B and the right hand side steel plate. The
temperature of the rod increases by an amount AT and this increase in temperature
causes the two ends of the rod to press against the steel plates. This action causes the
right hand steel plate to move to the right by 0.5mm while the left hand plate does not
move.
The Young's modulus value for steel is 210,00ON/mm?.
Taking any assumptions that you deem necessary calculate the increase in temperature
AT required to cause the rod to buckle.
Transcribed Image Text:2. The 40mm diameter steel rod AB shown in Figure 2 is resting on frictionless rollers between two steel plates. End A is just touching the left hand steel plate. Steel plate Steel plate А 1500mm Imm Figure 2 There is a gap of 1mm between the end B and the right hand side steel plate. The temperature of the rod increases by an amount AT and this increase in temperature causes the two ends of the rod to press against the steel plates. This action causes the right hand steel plate to move to the right by 0.5mm while the left hand plate does not move. The Young's modulus value for steel is 210,00ON/mm?. Taking any assumptions that you deem necessary calculate the increase in temperature AT required to cause the rod to buckle.
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